The actor and comedian, a vocal campaigner against the ethical practices of tabloid newspapers, had his high-profile case against News International settled today.
The 46-year-old will appear alongside Defence Secretary Philip Hammond, Baroness Shirley Williams, former Labour spin doctor Alistair Campbell and Daily Mail writer Dame Ann Leslie.
Hollywood star Hugh Grant, who has also appeared before the Leveson Inquiry, appeared on the BBC current affairs debate show in July last year.
Question Time, hosted by David Dimbleby, will air tomorrow night from London at 10.35pm on BBC One.
I'm Alan Partridge impressionist Coogan was invited to take part in BBC Two's Newsnight last year following the closure of the News of the World.
Watch Steve Coogan arguing with journalist Paul McMullan below: